Effective conductivity of two-phase materials consisting of long parallel cylinders

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Abstract

The effective conductivity σe of a dispersion of long, parallel cylinders (or two-dimensional systems), distributed in a second continuous matrix phase, is determined as a function of its microscopic structure. We obtained an expression for the effective conductivity of two-dimensional systems (based on an approximate scheme) that includes the one-body and two-body terms in the cluster expansion for σe. The effective conductivities of two-dimensional hard disks and square-well particles are computed. It is found that this expression yields excellent estimates for the effective conductivity over a wide range of cylinder volume fractions, and for cases in which the cylinder to matrix phase conductivity ratios are high.

Original languageEnglish (US)
Pages (from-to)1684-1688
Number of pages5
JournalJournal of Applied Physics
Volume67
Issue number4
DOIs
StatePublished - Dec 1 1990

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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